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TECHNICAL PAPERS

Model-Based Fuzzy Controller Design With Common Observability Gramian Assignment

[+] Author and Article Information
Wen-Jer Chang

Department of Marine Engineering and Technology, National Taiwan Ocean University, Keelung 202, Taiwan, R.O.C. e-mail: wjchang@mail.ntou.edu.tw

J. Dyn. Sys., Meas., Control 123(1), 113-116 (Aug 31, 1998) (4 pages) doi:10.1115/1.1344241 History: Received August 31, 1998
Copyright © 2001 by ASME
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References

Takagi,  T., and Sugeno,  M., 1985, “Fuzzy Identification of Systems and Its Applications to Modeling and Control,” IEEE Trans. Syst. Man Cybern., SMC-15, pp. 116–132.
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Wang, H. O., and Tanaka, K., 1996, “An LMI-based Stable Fuzzy Control of Nonlinear Systems and Its Application to Control of Chaos,” Proc. 5th IEEE Int. Conf. on Fuzzy Systems, New Orleans, LA, pp. 1433–1438.
Wang,  H. O., Tanaka,  K., and Griffin,  M. F., 1996, “An Approach to Fuzzy Control of Nonlinear Systems: Stability and Design Issues,” IEEE Trans. Fuzzy Syst., 4, pp. 14–23.
Moore,  B. C., 1981, “Principle Component Analysis in Linear Systems: Controllability, Observability, and Model Reduction,” IEEE Trans. Autom. Control, AC-26, pp. 17–32.
Wicks,  M. A., and Decarlo,  R. A., 1990, “Gramian Assignment Based on the Lyapunov Equation,” IEEE Trans. Autom. Control, 35, pp. 465–468.
Yasuda,  K., and Skelton,  R. E., 1991, “Assigning Controllability and Observability Gramians in Feedback Control,” J. Guid. Control Dyn., 14, pp. 878–885.
Campbell, S. L., and Meyer, C. D., 1991, Generalized Inverses of Linear Transformations, Dover, New York.
Chung,  H. Y., and Chang,  W. J., 1991, “Constrained Variance Design for Bilinear Stochastic Continuous Systems,” IEE Proc.-D: Control Theory Appl., 138, pp. 145–150.
Barnett,  S., and Storey,  C., 1967, “Analysis and Synthesis of Stability Matrices,” J. Diff. Eqns., 3, pp. 414–422.
Cannon, R. H., 1967, Dynamics of Physical Systems, McGraw-Hill, New York.

Figures

Grahic Jump Location
The membership functions of two-rule fuzzy model
Grahic Jump Location
The angle response x1(t) of inverted pendulum system (21

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